Simplify ( square root of 125x)/( square root of 5)

$\frac{\sqrt{125 x}}{\sqrt{5}}$

Step 1

Combine $\sqrt{125 x}$ and $\sqrt{5}$ into a single radical.

$\sqrt{\frac{125 x}{5}}$

Step 2

Reduce the expression by cancelling the common factors.

Reduce the expression $\frac{125 x}{5}$ by cancelling the common factors.

Factor $5$ out of $125 x$ .

$\sqrt{\frac{5 (25 x)}{5}}$

Factor $5$ out of $5$ .

$\sqrt{\frac{5 (25 x)}{5 (1)}}$

Cancel the common factor.

$\sqrt{\frac{5 (25 x)}{5 \cdot 1}}$

Rewrite the expression.

$\sqrt{\frac{25 x}{1}}$

Divide $25 x$ by $1$ .

$\sqrt{25 x}$

Step 3

Rewrite $25$ as $5^{2}$ .

$\sqrt{5^{2} x}$

Step 4

Pull terms out from under the radical.

$5 \sqrt{x}$